1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
marshall27 [118]
3 years ago
8

Consider the following hypotheses: H0: mean = 5 H1: mean < 5 A test is performed with a sample of size 25. The sample mean wa

s 4.73 and the population standard deviation is 1.2. Assume that the population is approximately normal. Use the TI-84 PLUS calculator to compute the P-value. Round your answer to four decimal places (for example: 0.0138). Write only a number as your answer.
Mathematics
1 answer:
kondor19780726 [428]3 years ago
7 0

Answer:

0.1406.

Step-by-step explanation:

Given : H_o:\mu = 5

           H_1:\mu < 5  

To Find : compute the P-value.

Solution:

Sample size = 25

n < 30

So, we will go for t-test

Now we are given that  the population standard deviation is 1.2.

\sqrt{\frac{s}{n}}=1.2 Where s is the variance

\sqrt{\frac{s}{25}}=1.2

\sqrt{s}=6

s = 6^2

s = 36

So, the variance is 36

we require sample standard deviation for t test

So, Sample standard deviation = \sqrt{\frac{s}{n-1}}

                                                  = \sqrt{\frac{36}{25-1}}

                                                  = 1.2247

Formula of t-test = \frac{m-\mu}{\frac{s}{\sqrt{n}}}

Where s is the standard deviation of sample

Sample mean = 4.73

Mean = \mu = 5

s = 1.2247

n =25

So,  t=\frac{5-4.73}{\frac{1.2247}{\sqrt{25}}}

t=1.1023

So, p value with respect to t-table is 0.1406.

Hence p-value is  0.1406.

You might be interested in
HELP FAST PLS-<br> 10 is what percent of 118? <br> PLEASE SHOW ALL YOUR WORK
Fudgin [204]

Answer:

10 is ≈8.47% of 118

Step-by-step

(10/118)(100)

8 0
2 years ago
Simplify: j + 5 + 5c
irina [24]
The answer is 5
c
+
j
+
5
5 0
2 years ago
Francisco is making an effort to drink more water, and has set a goal of 2 liters per day. He wants to know the volume of the wa
GarryVolchara [31]

Answer:

The volume of water bottle Francisco takes to school = 1.0048 liters

Step-by-step explanation:

The dimensions of the water bottle are given :

The Height of the water bottle is 20 cm  

⇒ h = 20 cm

The Radius of the water bottle is 4 cm

⇒ r = 4 cm

⇒ Volume of the water bottle = π·r²·h

⇒ Volume = 3.14 × 4² × 20

⇒ Volume = 1004.8 cm³

Now, 1000 cm³ = 1 liter

⇒ 1004.8 cm³ = 1.0048 liter

Hence, The volume of water bottle Francisco takes to school = 1.0048 liters

3 0
3 years ago
Read 2 more answers
Lucia knows the fourth term in a sequence is 55 and the ninth term in the same sequence is 90. Explain how she can find the comm
Andreyy89
Using the formula for the nth term of an arithmetic progression.
an = a + (n - 1)d
a(4) = a + 3d = 55
a(9) = a + 8d = 90
a(9) - a(4) => 5d = 35
d = 35/5 = 7.
From a(4): a = 55 - 3d = 55 - 3(7) = 55 - 21 = 34

a(2) = a + d = 34 + 7 = 41.

4 0
3 years ago
Y = 2/3 when x = 0.2
azamat
Please explain some more:)
4 0
2 years ago
Other questions:
  • Cell phones can weigh as little as 56 grams. How many kilograms can the cell phone weigh
    14·2 answers
  • X^3*x^4=x^12 whats the answerrr
    7·1 answer
  • Factor the equation 12x4 - 27x3 + 6x2
    15·1 answer
  • A party rental company has chairs and tables for rent. The total cost to rent 2 chairs and 3 tables is $28. The total cost to re
    12·1 answer
  • You bought a magazine for $5 and four erasers. You spent a total of $25. How much did each eraser cost?
    6·1 answer
  • What is the answer to 2.4 × 10-4
    13·2 answers
  • Write the following linear equation in slope-intercept form given the following:
    8·1 answer
  • Derive the followir<br>i) v2 = u? + 2as<br>ii) s = ut +<br>at​
    15·1 answer
  • What is the simplest form of 60 : 120?​
    5·2 answers
  • What is the smallest number greater than 1 that leaves a remainder 1 when divided by each of 2, 3, and 4?
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!